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Finding the Fourth Proportional to 825.06, 1,236.87 and 337.77

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Solution

The fourth proportional to 825.06, 1,236.87 and 337.77 is: 506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.06 : 1,236.87 = 337.77 : x
  2. Step 2: Convert to fraction form
    825.06/1,236.87 = 337.77/x
  3. Step 3: Cross multiply
    825.06x = 1,236.87 × 337.77
  4. Step 4: Simplify right side
    825.06x = 417,777.58
  5. Step 5: Solve for x
    x = 417,777.58/825.06
  6. Step 6: Final answer
    x = 506.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.